Chapter 11.3, Problem 10E

(a)

To determine

To find: The graph for the catenary $y=\frac{e^x+e^{-x}}{2}$ .

Answer to Problem 10E

The graph is shown in Figure 3

Explanation of Solution

Consider the given expression is,

  $y=\frac{e^x+e^{-x}}{2}$

From the above equation by the help of graphing utility enter the equation in the calculator by pressing Y= as shown in Figure 1

  

Figure 1

Press the window button and set X min =-5, X max=5, X scl=1, Ymin=0, Ymax=10, Yscl=1, Xres=1 as shown in Figure 2

  

Figure 2

Then, press the graph button as shown in Figure 3

  

Figure 3

(b)

To determine

To find: The symmetry that the graph displays.

Answer to Problem 10E

The graph is line symmetry.

Explanation of Solution

Consider the graph shown in Figure 3

The above graph is symmetrical about the y axis so the graph is line symmetry.

Thus, the graph is line symmetry.